Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 59, 2011 - Issue 2
Submit an article Journal homepage
261
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Contractive matrices of Hua type

Guanghui Xu College of Sciences, Zhejiang Forestry University, Hangzhou, Zhejiang 311300, China
,
Changqing Xu College of Sciences, Zhejiang Forestry University, Hangzhou, Zhejiang 311300, China
&
Fuzhen Zhang Division of Math, Science and Technology, Nova Southeastern University, 3301 College Ave, Fort Lauderdale, FL 33314, USA; School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning Province 110034, ChinaCorrespondence[email protected]
Pages 159-172 | Received 19 Feb 2009, Accepted 18 Aug 2009, Published online: 18 Feb 2011

References

  • Ando , T . 1980 . Hua–Marcus inequalities . Linear Multilinear Algebra , 8 : 347 – 352 .
  • Ando , T . 2008 . Positivity of operator-matrices of Hua type . Banach J. Math. Anal. , 2 : 1 – 8 .
  • Bellman , R . 1959 . Representation theorems and inequalities for Hermitian matrices . Duke Math. J. , 26 : 485 – 490 .
  • Horn , RA and Johnson , CR . 1991 . Topics in Matrix Analysis , New York : Cambridge University Press .
  • Hua , L-K . 1955 . Inequalities involving determinants (in Chinese) . Acta Math. Sinica , 5 : 463 – 470 . (see also Transl. Amer. Math. Soc. Ser. II 32 (1963) 265–272)
  • Marcus , M . 1958 . On a determinantal inequality . Amer. Math. Monthly , 65 : 266 – 268 .
  • Marcus , M and Watkins , W . 1971 . Partitioned Hermitian matrices . Duke Math. J. , 38 : 237 – 249 .
  • Marshall , AW and Olkin , I . 1979 . Inequalities: Theory of Majorization and Its Applications , New York : Academic Press .
  • Paige , CC , Styan , GPH , Wang , B-Y and Zhang , F . 2008 . Hua's matrix equality and Schur complements . Int. J. Inform. Syst. Sci. , 4 : 124 – 135 .
  • Simon , B . 2005 . Trace Ideals and Their Applications , 2nd , Providence : American Mathematical Society .
  • Thompson , RC . 1961 . A determinantal inequality . Can. Math. Bull. , 4 : 57 – 62 .
  • Xu , C , Xu , Z and Zhang , F . 2009 . Revisiting Hua–Marcus–Bellman–Ando inequalities on contractive matrices . Linear Algebra Appl. , 430 : 1499 – 1508 .
  • Zhang , F . 1999 . Matrix Theory: Basic Results and Techniques , New York : Springer .
  • Zhang , F . 2005 . The Schur Complements and Its Applications , New York : Springer .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.